please help double check me ### Standardized Tests AnalysisIn a particular year, data were collected on standardized tests, including ACT and SAT scores. Here are the summarized statistics:- **ACT Test:** - Mean score: 24.8 - Standard deviation: 6.5- **SAT Mathematics Test:** - Mean score: 541 - Standard deviation: 124The distributions of both scores were approximately bell-shaped. The solutions below include steps to calculate Z-scores and reverse calculations to determine original scores from given Z-scores.### Part 1 of 4#### (a) Find the Z-score for an ACT score of 29.To find the Z-score:\[ Z = \frac{(X - \mu)}{\sigma} \]Where \( X \) is the score, \( \mu \) is the mean, and \( \sigma \) is the standard deviation.For an ACT score of 29:\[ X = 29, \mu = 24.8, \sigma = 6.5 \]Calculation:\[ Z = \frac{(29 - 24.8)}{6.5} \approx 0.65 \]Answer:\[ \text{The Z-score for an ACT score of 29 is } 0.65. \]### Part 2 of 4#### (b) Find the Z-score for a SAT score of 498.For an SAT score of 498:\[ X = 498, \mu = 541, \sigma = 124 \]Calculation:\[ Z = \frac{(498 - 541)}{124} \approx -0.35 \]Answer:\[ \text{The Z-score for an SAT score of 498 is } -0.35. \]### Part 3 of 4#### (c) Jose's ACT score had a Z-score of 2.33. What was his ACT score?To find the original score \( X \) from a Z-score:\[ X = (Z \times \sigma) + \mu \]Given \( Z = 2.33 \):\[ \sigma = 6.5, \mu = 24.8 \]Calculation:\[ X = (2.33 \times 6.5) + 24.8 \approx 40.95 \]Answer:\[ \text{Jose's

a) Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Standardized tests: In a particular year, the mean score on the ACT test was 24.8 and the standard deviation was 6.5. The mean score on the SAT mathematics test was 541 and the standard deviation was 124. The distributions of both scores were approximately bell-shaped. Round the answers to at least two decimal places. Part: 0/4 Part 1 of 4 (a) Find the 2-score for an ACT score of 29. The I-score for an ACT score of 29 is 10 x Part: 1/4 Part 2 of 4 (b) Find the 2-score for a SAT score of 498. The 2-score for an SAT score of 498 08 Part: 2/4 Part 3 of 4 (c) Jose's ACT score had a I-score of 2.33. What was his ACT score? Jose's ACT score is 5 Part: 3/4 Part 4 of 4 (d) Emma's SAT score had a I-score of -2.5. What was her SAT score? Emma's SAT score is X

Standardized tests: In a particular year, the mean score on the ACT test was 24.8 and the standard deviation was 6.5. The mean score on the SAT mathematics test was 541 and the standard deviation was 124. The distributions of both scores were approximately bell-shaped. Round the answers to at least two decimal places. Part: 0/4 Part 1 of 4 (a) Find the 2-score for an ACT score of 29. The I-score for an ACT score of 29 is 10 x Part: 1/4 Part 2 of 4 (b) Find the 2-score for a SAT score of 498. The 2-score for an SAT score of 498 08 Part: 2/4 Part 3 of 4 (c) Jose's ACT score had a I-score of 2.33. What was his ACT score? Jose's ACT score is 5 Part: 3/4 Part 4 of 4 (d) Emma's SAT score had a I-score of -2.5. What was her SAT score? Emma's SAT score is X

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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